Mathematical logic in the soviet union, 1917–1980

This essay describes a variety of contributions which relate to the connection of probability with logic. Some are grand attempts at providing a logical foundation for probability and inductive inference. Others are concerned with probabilistic inference or, more generally, with the transmittance of probability through the structure (logical syntax) of language. In this latter context probability is considered as a semantic notion playing the same role as does truth value in conventional logic. At the conclusion of the essay two fully elaborated semantically based constructions of probability logic are presented.     

The formation of Soviet cultural theory of music (1917–1948)

This article explores the continuities and discontinuities of pre-Revolutionary intellectual traditions in 1920s Soviet culture and the Stalin-era cultural revolution. Through examination of the pre-revolutionary philosophical legacy underpinning Soviet musicological theory, I demonstrate that there are decisive features, such as Soviet Prometheanism, that characterize the musicology of the 1920s that both underline and differ from the pre-revolutionary philosophy of music and the musicology of the 1930s. I offer the basic outlines of a Soviet cultural theory of music formulated by Russian music critic, historian, composer and musicologist Boris Asafiev (1884–1949) in the 1920s. Explaining and describing what I mean by a particular cultural theory of music in the Soviet context forms the core issue of my article.

     

Was the Soviet Union Totalitarian? The View of Soviet Dissidents and the Reformers of the Gorbachev Era

The article explains why Soviet dissidents and the reformers of the Gorbachev era chose to characterize the Soviet system as totalitarian. The dissidents and the reformers strongly disagreed among themselves about the origins of Soviet totalitarianism. But both groups stressed the effects of totalitarianism on the individual personality; in doing so, they revealed themselves to be the heirs of the tsarist intelligentsia. Although the concept of totalitarianism probably obscures more than it clarifies when it is applied to regimes like the Nazi and the Soviet, the decision of the dissidents and the reformers to use the term enabled them to clarify their own values and the reasons they felt compelled to criticize the Soviet Union and to call for its radical reform.     

Hasidic Thought and the Holocaust (1933–1947): Optimism and Activism

Polish hasidic thought during the Holocaust exhibited optimism about the outcome. This was tied in part to the power of the inner point of faith (nekudah penimit) to impact upon the dialectical movement from darkness to light, on both the historical (sin-punishment) and metahistorical (exile-redemption) levels. Exponents of this view included the Admorim (rebbes, hasidic leaders) of Alexander, Bobov, and Gur, and Kalonymus Kalman Shapira (Warsaw). Immediately after the war, other Admorim from these streams continued with their optimism and faith-activism, even though they viewed the Holocaust through the lens of its non-redemptive aftermath. There was also a pessimistic and passive strain, shared by representatives of the Kotsk, Sokhachev, and Sokolov dynasties, in apparent response to the failure of inner faith to affect the catastrophic historical reality.     

On the Ehresmann–Vanbremeersch Theory and Mathematical Biology

Category theory has been proposed as the ultimate algebraic model for biology. We review the Ehresmann–Vanbremeersch theory in the context of other mathematical approaches.     

Constance “Connie” Hanf (1917–2002): The Mentor and the Model

This article provides an account of the impact of Constance Hanf, Ph.D., developer of the well-known two-stage parent training model that bears her name. Past colleagues, interns, postdoctoral students, and undergraduate trainees reflect on their experiences with Dr. Hanf and comment on her influence on their careers, as well as the impact of the model on child behavior therapy. The paper first briefly describes child therapy as it existed before the advent of behavioral parent training, and subsequently describes Dr. Hanf's parent training model and career. Finally, we attempt to elucidate the personal side and professional impact of this very important figure in contemporary empirically based work with families.     

Is logic in the mind or in the world?

The paper presents an outline of a unified answer to five questions concerning logic: (1) Is logic in the mind or in the world? (2) Does logic need a foundation? What is the main obstacle to a foundation for logic? Can it be overcome? (3) How does logic work? What does logical form represent? Are logical constants referential? (4) Is there a criterion of logicality? (5) What is the relation between logic and mathematics?